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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 2, Pages 369–375 (Mi smj30)  
This article is cited in 8 scientific papers (total in 8 papers)

Finite tangled groups

A. L. Myl'nikov

Krasnoyarsk State University
Full-text PDF (169 kB) Citations (8)
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Abstract: We study the so-called finite tangled groups. These are the groups whose every subset containing 1 and closed under the operation $x\circ y=xy^{-1}x$ is a subgroup. The general problem of studying such groups reduces to the case of tangled groups of odd order. We classify all finite nilpotent tangled groups.
Keywords: twisted subset, twisted subgroup, tangled subgroup.
Received: 01.04.2003
Revised: 24.01.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 2, Pages 295–299
DOI: https://doi.org/10.1007/s11202-007-0030-4
Bibliographic databases:
UDC: 512.544
Language: Russian
Citation: A. L. Myl'nikov, “Finite tangled groups”, Sibirsk. Mat. Zh., 48:2 (2007), 369–375; Siberian Math. J., 48:2 (2007), 295–299
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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